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Finding the Fourth Proportional to 20,458.20, 30,682.86 and 7,311.48

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Solution

The fourth proportional to 20,458.20, 30,682.86 and 7,311.48 is: 10,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.20 : 30,682.86 = 7,311.48 : x
  2. Step 2: Convert to fraction form
    20,458.20/30,682.86 = 7,311.48/x
  3. Step 3: Cross multiply
    20,458.20x = 30,682.86 × 7,311.48
  4. Step 4: Simplify right side
    20,458.20x = 224,337,117.23
  5. Step 5: Solve for x
    x = 224,337,117.23/20,458.20
  6. Step 6: Final answer
    x = 10,965.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.